Consider the situation described in Exercise 35 but suppose that the two species do not arrive independently. Find a set of probabilities for outcomes consistent with the probabilities that you think will have lower variance than the independent case. Compute the expectation and variance.
Suppose annual immigration into a park by three species follows the probabilities in the table.

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Number of Immigrants Species 1 0.3 0.6 0.1 Species 2 0.6 0.2 0.2 Species 3 0.1 0.3 0.6